Physics
10th Edition
ISBN: 9781118486894
Author: David Young, Shane Stadler
Publisher: WILEY
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Chapter 3, Problem 81CCP
Concepts: (i)
To determine
To explain: About the y- component of the velocities of blue and red balls.
(ii)
To determine
To explain: About the x components of the initial velocities red and yellow balls.
Calculations:
To determine
The launch speed and launch angle for the red ball.
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solve for Vo
Draw a third quadrant vector C. (remember that boldface characters represent vector
quantities). Show the standard angle 0 for this vector (= angle that C makes with the positive x-
axis). Also show the angle that C makes with the negative y-axis: call the latter angle 8. Finally,
show the smallest angles that C makes with the positive x-axis and the positive y-axis: call these
angles p1 and p2, repectively.
a) Prove the following formulas for the components of C involving the standard angle (hint:
start with the formulas for the components based on the angle & and then use (look up if
necessary) co-function identities linking cosine and sine of 8 to sine and cosine of 0 since 8 =
3π/2-8 (this will switch cosine and sine around and eliminate - signs as well))
-
C=Ccose
C₁=Csine
b) Prove the following formulas for the components of C:
C=Ccosp1
C=Ccosp2
Notation matters when working with vectors! In particular, it is important to
distinguish between the vector itself (A) and its magnitude (A).
Illustrate in four separate sketches that each of the following statements is
possible:
a) both R = A + B and R=A+B are correct
b) R = A + B is correct, but R=A+B is incorrect
c) R = A + B is incorrect, but R=A+B is correct
d) both R = A + B and R=A+B are incorrect
Chapter 3 Solutions
Physics
Ch. 3.1 - 1. Suppose you are driving due east, traveling a...Ch. 3.2 - 2. A power boat, starting from rest, maintains a...Ch. 3.3 - 3. A projectile is fired into the air, and it...Ch. 3.3 - Prob. 4CYUCh. 3.3 - Prob. 5CYUCh. 3.3 - Prob. 6CYUCh. 3.3 - Prob. 7CYUCh. 3.3 - Prob. 8CYUCh. 3.3 - Prob. 9CYUCh. 3.3 - Prob. 10CYU
Ch. 3.3 - Prob. 11CYUCh. 3.3 - Prob. 12CYUCh. 3.4 - 13. Three cars, A, B, and C, are moving along a...Ch. 3.4 - Prob. 14CYUCh. 3.4 - Prob. 15CYUCh. 3.4 - Prob. 17CYUCh. 3 - Prob. 1FCCh. 3 - Prob. 3FCCh. 3 - 4. Each drawing shows three points along the path...Ch. 3 - Prob. 6FCCh. 3 - Prob. 9FCCh. 3 - Prob. 14FCCh. 3 - Prob. 15FCCh. 3 - Prob. 16FCCh. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - 15. A skateboarder shoots off a ramp with a...Ch. 3 - 16. A puck is moving on an air hockey table....Ch. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - 34. On a distant planet, golf is just as popular...Ch. 3 - Prob. 35PCh. 3 - 36. A rifle is used to shoot twice at a target,...Ch. 3 - Prob. 37PCh. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - Prob. 41PCh. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Prob. 48PCh. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - Prob. 51PCh. 3 - Prob. 52PCh. 3 - Prob. 53PCh. 3 - Prob. 54PCh. 3 - Prob. 55PCh. 3 - Prob. 56PCh. 3 - Prob. 57PCh. 3 - Prob. 58PCh. 3 - Prob. 59PCh. 3 - 60. The captain of a plane wishes to proceed due...Ch. 3 - Prob. 61PCh. 3 - Prob. 62PCh. 3 - Prob. 63PCh. 3 - Prob. 64PCh. 3 - Prob. 65PCh. 3 - Prob. 66APCh. 3 - 67. A dolphin leaps out of the water at an angle...Ch. 3 - Prob. 68APCh. 3 - Prob. 69APCh. 3 - Prob. 70APCh. 3 - 71. Multiple-Concept Example 4 provides useful...Ch. 3 - Prob. 72APCh. 3 - *73. A golfer, standing on a fairway, hits a shot...Ch. 3 - Prob. 74APCh. 3 - Prob. 75APCh. 3 - Prob. 76APCh. 3 - Prob. 77APCh. 3 - Prob. 78APCh. 3 - Prob. 79APCh. 3 - Prob. 80APCh. 3 - Prob. 81CCPCh. 3 - Prob. 82CCP
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